One way you could streamline your rename/relocate process in Sublime Text is to install DTerm. It's basically an in program keyboard shortcut that gives you a command line interface for the current directory that your program is accessing.
So.. if I'm working with index.html and need it to be index.php, all I need to do is: cmd+ctrl+return, then: mv index.html index.php
So.. if I'm working with index.html and need it to be index.php, all I need to do is: cmd+ctrl+return, then: mv index.html index.php